If \( S \) is the sum of the first 10 terms of the series \( \tan ^{-1}\left(\frac{1}{3}\right)+\tan ^{-1}\left(\frac{1}…

If \( S \) is the sum of the first 10 terms of the series \( \tan ^{-1}\left(\frac{1}{3}\right)+\tan ^{-1}\left(\frac{1}{7}\right)+\tan ^{-1}\left(\frac{1}{13}\right) \) \( +\tan ^{-1}\left(\frac{1}{21}\right)+\ldots \ldots \) then \( \tan (S) \) is equal to

[JEE Main 2020, 5 Sep (Shift 1)]